Questions tagged [gre-exam]

For questions relevant to the general or subject-specific Graduate Record Examination, abbreviated GRE.

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2 answers
456 views

$X+Y <0$ and $Y - X >0$. Can we determine which of $Y$ and $0$ is bigger? (GRE question)

Given $X + Y < 0$, and $Y - X > 0$. Let quantity $A$ be $Y$, and quantity $B$ be $0$. Which of the following is true: A. $A$ is always greater. B. $B$ is always greater. C. both are always the ...
0 votes
2 answers
237 views

A simple GRE data-analysis question - but I dont know what it is asking

It is a GRE data analysis question. I don't if I am dumb in Math, or in English. But I could not understand what is the question a want me to answer. Please give me a hint.
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4 votes
5 answers
36k views

How many 3-digit positive integers are odd and do not contain digit 5?

It is a GRE question. And it has been answered here. But I still want to ask it again, just to know why I am wrong. The correct is 288. My idea is, first I get the total number of 3-digit integers ...
  • 269
2 votes
1 answer
189 views

¿Mathematical induction GRE math?

Im studing for the GRE math subject test...i can´t get the followin problem: Using Mathematical Induction, show that it is possible to color with only two colors the regions formed by n lines in the ...
0 votes
1 answer
611 views

Advice for GRE exam (Surface area of cylinder)

I need from experienced people such advice, for example, it is given on the exam that we have cylinder with base radius $3$ and height $4$. The question is to calculate the surface area. Generally, ...
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2 votes
3 answers
49 views

figure on scale

generally it is well known that angle inscribed by diameter is $90$,but because on GRE figures are not drawn on scale,that why i want to make sure that my assumption about $y$ is $90$ ,...
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2 votes
1 answer
111 views

quantity comparative test on GRE

i would like to compare two quantity,first is $-3^4$ and $(-3)^4$,second one is clearly $81$,but what about second on?is it $-3\cdot-3\cdot-3\cdot-3$ ? $-3\cdot3\cdot3\cdot3$?there could be ...
2 votes
1 answer
788 views

Probability and Statistics 2

John invites 12 friends to a dinner party, half of which are men. Exactly one man and one woman are bringing desserts. If one person from this group is selected at random, what is the probability that ...
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0 votes
2 answers
4k views

formula for finding perimeter of half circle

i was looking for this problem http://www.majortests.com/gre/problem_solving_expl.php?exp=50313039243130243330 and was surprised if it is correct,we know that circumference or perimeter of circle ...
1 vote
2 answers
560 views

GRE test prep question [LCM and divisors]

Let $S$ be the set of all positive integers $n$ such that $n^2$ is a multiple of both $24$ and $108$. Which of the following integers are divisors of every integer $n$ in $S$ ? Indicate all such ...
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4 votes
4 answers
2k views

How many zeroes at the end of $3^34^45^56^6 - 3^64^55^46^3$?

The quantity $3^34^45^56^6 - 3^64^55^46^3$ will end in how many zeros? This is a GRE Practice question and I have to do it without using a calculator. Can anyone help me on this?
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0 votes
1 answer
939 views

angle of inscribed triangle

let us consider following problem: we have inscribed triangle,like this we are asked to determine if given $x$ is acute or obtuse,$O$ is center of circle,as i know if $CB$ would be diameter,...
1 vote
2 answers
245 views

How to solve a ratio question

Studying for the GRE. In the GRE guide, it says that If the ratio is $2x:5y$, and this equals the ratio $3:4$, what is the ratio of $x:y$? I tried cross multiplying but I don't get the answer. It ...
8 votes
1 answer
964 views

Book on Geometry (GRE Math Subject Test)?

I don't believe that this is a duplicate of any question that is on this site. I am currently searching for a geometry textbook which covers (at least) material for the GRE Math Subject Test. I have ...
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1 vote
3 answers
5k views

How do I find the probability of these independent events

The following is taken from the ETS math review for the GRE: Let A, B, C, and D be events for which P(A or B)=0.6, P(A)=0.2, P(C or D)=0.6, and P(C)=0.5 The events A and B are mutually exclusive, and ...
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0 votes
3 answers
6k views

Revised GRE Math Probability section

The table shows the distribution of a group of $40$ college students by gender and class $$ \begin{array}{c|lcr} & \text{Sophomores} & \text{Juniors} & \text{Seniors} \\ \hline \text{...
-1 votes
2 answers
610 views

Guess the terms in the sequence?

I am writing GRE in 2 two months, and I just can't solve these sequence question. Can anyone tell what the missing terms are and what is the pattern here? Find the next 4 terms in this sneaky ...
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2 votes
1 answer
2k views

Coin flipping probability -- GRE question

This question appeared on my GRE practice test, and I am wondering if there is a good general strategy for questions like this: A fair coin is flipped 100 times, yielding $H$ heads and $T$ tails. ...
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2 votes
4 answers
187 views

Is 440 a factor of 72840?

I would like to know how to solve the following question: Is 440 a factor of 72840? I would have thought that this involves dividing 72840 by 440 and seeing if it produces an integer. However, the ...
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6 votes
3 answers
40k views

Find the median given a table of relative frequencies

I came across the following GRE question. I had no problem finding the mean. However, the answer for the median is given to be 1. I don't understand how they arrive at this. Find the mean and ...
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6 votes
7 answers
30k views

Finding a number given its remainder when divided by other numbers

I have this GRE question that I'd like to know how to solve. I want to solve it in as simple a way as possible, since it is GRE material. In particular, I don't want to use "congruences" or modulo ...
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0 votes
2 answers
620 views

Local Extrema of a 2D Surface in R^3 (Math GRE Question)

The surface in question is $f(x,y) = x^3 + y^3 + 3xy$ I'm told that there are 2 distinct points $P$ and $Q$ of $f$ at which $f$ has a local maximum and a saddle point, respectively. How can I show ...
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6 votes
4 answers
922 views

Algebra Question from Mathematics GRE

I just started learning algebra, and I came across a question from a practice GRE which I couldn't solve. http://www.wmich.edu/mathclub/files/GR8767.pdf #49 The finite group $G$ has a subgroup $H$ ...
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0 votes
2 answers
2k views

GRE Permutation and combination question

A teacher prepares a test. She gave $5$ questions of which $4$ need to be answered. Find the total number of ways of answering the questions if the first two questions have $3$ choices and the next ...
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27 votes
2 answers
27k views

recommending books for GRE math subject test

I wonder if anyone could recommend some books (other than Princeton Review) to prepare for the GRE math subject exam. I've heard that the REA books have lots of typos, though it has 6 practice exams. ...
8 votes
4 answers
702 views

Interesting GRE problem

I found this in a practice GRE problem. I thought I would have a crack at it after being spoiled by the answer At how many points in the xy-plane do the graphs of $y = x^{12}$ and $y = 2^x$ ...
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1 vote
2 answers
2k views

What this graph $x^{\log y}=y^{\log x}$

What is the graph of $x^{\log y}=y^{\log x}$? This question appears on GRE exam.
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1 vote
1 answer
458 views

Some GRE questions (II) [closed]

Let $F$ be a constant unit force that is parallel to the vector $(1, 0, 1)$ in xyz-space. What is the work done by $F$ on a particle that moves along the path given by $(t, t^2, t^3)$ between time $t=...
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3 votes
3 answers
385 views

A couple of GRE questions

Look for help with the following GRE questions Question 1. If $C$ is the circle in the complex plane whose equation $|z|=\pi$, oriented counterclockwise, find the value of the integral $\oint_C(\cos ...
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18 votes
3 answers
49k views

GRE Math Subject Test [closed]

I am studying for GRE Math. I am looking for specific tips. What types of questions usually come up? Does anyone know any tricks (e.g. integration tricks) that might be helpful? Which theorems are ...
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0 votes
7 answers
1k views

How to multiply decimal with wholenumber?

How Can I multiply x = (0.35)(80) x = 28 steps by step fastest way I am not going to lie, but it is time for me to take a test without using a calculator. Schools have made me worse by giving us a ...
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2 votes
1 answer
146 views

Tangent line to a curve

For what value of $b$ is the line $y=10x$ tangent to the curve $y=e^{bx}$ at some point in the $xy$-plane? The solution is $10/e$. The question source is GRE 0568: Q23. I would appreciate the ...
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2 votes
4 answers
415 views

GRE 9378 question 23

Let $f$ be a real valued function continuous on the closed interval $[0,1]$ and differentiable on the open interval $(0,1)$, with $f(0)=1$ and $f(1)=0$. Which of the following must be true? There ...
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7 votes
1 answer
371 views

Alternative ways to show $\int_{0}^{\infty}f(x)\, dx = \int_{0}^{1}f^{-1}(y)\, dy$

Let $f$ be a continuous, strictly decreasing, real-valued function such that $\int_{0}^{\infty}f(x)\, dx$ is finite and $f(0) = 1$. In terms of $f^{-1}$, we see that $$\int_{0}^{\infty}f(x)\, dx = \...
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1 vote
1 answer
2k views

GRE Permutation and geometry question

if you join all the vertices of a heptagon, how many quadrilaterals will you get? How many heptagons can be drawn by joining the vertices of a polygon with 10 sides? A polygon has 20 diagonals,how ...
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2 votes
2 answers
15k views

GRE Probability question

How many 3-digit positive integers are odd and do not contain the digit 5 ? My attempt: 100-999 3 -digit integers, 900/2=450 odd numbers. Now how to calculate odd numbers which do not contain digit 5 ...
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17 votes
2 answers
19k views

Explicitly finding the sum of $\arctan(1/(n^2+n+1))$

This is from a GRE prep book, so I know the solution and process but I thought it was an interesting question: Explicitly evaluate $$\sum_{n=1}^{m}\arctan\left({\frac{1}{{n^2+n+1}}}\right).$$
2 votes
3 answers
2k views

GRE Algebra question

A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12. (a) What is the fixed total cost ...
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2 votes
2 answers
1k views

Solving $xdy+(y-xe^x)dx=0$ from GRE 8767.

I'm a little confused about GRE 8767 problem #40. Let $y=f(x)$ be a solution of the differential equation $xdy+(y-xe^x)dx=0$ such that $y=0$ when $x=1$. What is the value of $f(2)$? I see that ...
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2 votes
2 answers
281 views

Gre Question Complex Number (plug and chug) [duplicate]

This seems like it should be easy, but I can't seem to simplify it: If $z=e^{i\frac{2\pi}{5}}$, then what is $1+z+z^2+z^3+5z^4+4z^5+4z^6+4z^7+4z^8+5z^9$. The choices are $0, 4e^{i\frac{3\pi}{5}}, 5e^{...
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2 votes
2 answers
2k views

Ratio GRE question

Cashews cost 4.75 per pound and hazelnuts cost 4.50 per pound. What is larger, the number of pounds of cashews in a mixture of cashews and hazelnuts that costs $5.50 per pound, or 1.25? ...
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31 votes
6 answers
8k views

Is a good GRE score enough for a non-math graduate to be accepted in a decent pure mathematics graduate program?

I have a computer engineering degree , and i have studied several mathematics courses like single variable and multiples variables calculus , complex variables , probability , numerical analysis ... ...
32 votes
2 answers
7k views

Books to study for Math GRE, self-study, have some time.

I just graduated from a regional university in the US with a minor in mathematics. There is a masters program overseas, for economics, that I want to attend but they require applicants to take the ...
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5 votes
3 answers
4k views

Cyclic group of order 15

I'm reviewing for the math GRE (it's been 8+ years since I took abstract algebra) and came across this question: A cyclic group of order 15 has an element $x$ such that the set $\{x^3, x^5, x^9 \}$ ...
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2 votes
1 answer
492 views

Is there any international aptitude test for college-level mathematics that can help Graduate Admission?

Is there any international aptitude test for college-level mathematics that can help Graduate Admission? Is there any agency that conduct such a test? Will it be better to take some courses in Math ...
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1 vote
2 answers
132 views

An elementary differential equation problem

I encountered this problem in last week's GRE subject test, and I could not solve it. So I venture to post it in here. The question is as follows: $$y/t+te^{-t}=y'$$ asking me $$\displaystyle \...
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3 votes
3 answers
1k views

A problem in discrete math (Pigeonhole principle related)

This question is from the multiple choice test: A circular region is divided by 5 radii into sectors, as shown above. Twenty-one points are chosen in the circular region, none of which is on any of ...
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3 votes
1 answer
2k views

Finding the area of the intersection of two circles

The following is problem 8 from a GRE exam found here. The problem states that the two circles with radius $r=3$ intersect each other such that the area of the darkened region is equal to the sum of ...
14 votes
4 answers
6k views

What is the greatest integer that divides $p^4-1$ for every prime number $p$ greater than $5$?

What is the greatest integer that divides $p^4-1$ for every prime number $p > 5$? This was on a practice math GRE so it's probably really easy.
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9 votes
3 answers
2k views

GRE linear algebra question

The following is a question from the sample GRE Mathematics Subject Test found on the ETS website: Let $M$ be a $5\times 5$ real matrix. Exactly four of the following five conditions on $M$ are ...
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